Final answer:
The AsF5 molecule, which has a trigonal bipyramidal electron-domain geometry, utilizes sp³d hybrid orbitals formed from the arsenic atom's s, p, and one d valence shell orbitals.
Step-by-step explanation:
The electron-domain geometry of the AsF5 molecule is trigonal bipyramidal. The hybrid orbitals used by the arsenic (As) atom for bonding are sp³d hybrid orbitals. To describe the five bonding orbitals in a trigonal bipyramidal arrangement, As atom must use five of the valence shell atomic orbitals, which include the s orbital, the three p orbitals, and one of the d orbitals from its valence shell. This results in the formation of five sp³d hybrid orbitals that are oriented in a trigonal bipyramidal fashion, with three in a plane at 120° angles to each other, and the remaining two oriented at 90° to the equatorial orbitals and 180° to each other.